Reconstruction of Dynamical Systems Without Time Label
Abstract
In this paper, we study the method to reconstruct dynamical systems from data without time labels. Data without time labels appear in many applications, such as molecular dynamics, single-cell RNA sequencing, etc. Reconstruction of dynamical system from time sequence data has been studied extensively. However, these methods do not apply if time labels are unknown. Without time labels, sequence data become distribution data. Based on this observation, we propose to treat the data as samples from a probability distribution and try to reconstruct the underlying dynamical system by minimizing the distribution loss, sliced Wasserstein distance more specifically. Extensive experiment results demonstrate the effectiveness of the proposed method.
Fields of Study & Subjects
Generative Adversarial Networks and Image Synthesis
Topological and Geometric Data Analysis
Time Series Analysis and Forecasting
Publication details
- Journal / source
- Communications in Computational Physics
- Publisher
- Global Science Press
- Volume
- 39
- Issue
- 3
- Pages
- 941–968
- Publication date
- 3 January 2026